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Finding the Third Proportional to 1,389 and 2,068.50

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Solution

The third proportional to 1,389 and 2,068.50 is: 3,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389 : 2,068.50 = 2,068.50 : x
  2. Step 2: Convert to fraction form
    1,389/2,068.50 = 2,068.50/x
  3. Step 3: Cross multiply
    1,389x = 2,068.50 × 2,068.50
  4. Step 4: Simplify right side
    1,389x = 4,278,692.25
  5. Step 5: Solve for x
    x = 4,278,692.25/1,389
  6. Step 6: Final answer
    x = 3,080.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.